Finding the Fourth Proportional to 8,097,341,248.14, 12,146,544,817.63 and 2,121,613,748.21
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Solution
The fourth proportional to 8,097,341,248.14, 12,146,544,817.63 and 2,121,613,748.21 is: 3,182,560,261.28
Step by Step Solution
- Step 1: Write the proportion equation
8,097,341,248.14 : 12,146,544,817.63 = 2,121,613,748.21 : x - Step 2: Convert to fraction form
8,097,341,248.14/12,146,544,817.63 = 2,121,613,748.21/x - Step 3: Cross multiply
8,097,341,248.14x = 12,146,544,817.63 × 2,121,613,748.21 - Step 4: Simplify right side
8,097,341,248.14x = 25,770,276,478,343,069,696 - Step 5: Solve for x
x = 25,770,276,478,343,069,696/8,097,341,248.14 - Step 6: Final answer
x = 3,182,560,261.28
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.